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Finding the Fourth Proportional to 27.30, 37.64 and 24.23

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Solution

The fourth proportional to 27.30, 37.64 and 24.23 is: 33.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.30 : 37.64 = 24.23 : x
  2. Step 2: Convert to fraction form
    27.30/37.64 = 24.23/x
  3. Step 3: Cross multiply
    27.30x = 37.64 × 24.23
  4. Step 4: Simplify right side
    27.30x = 911.89
  5. Step 5: Solve for x
    x = 911.89/27.30
  6. Step 6: Final answer
    x = 33.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.